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This is fundamental, high school math, historical rate and trend tracking. There are NO PREDICTIONS of future results. If you want predictions, see an actuary or bookie.
However, if you track the slope of case rates curve for your region, your data collection is of 'good quality' and you keep your slope of rates negative for 'long enough,' it is reasonable to expect that your region will enter a maintenance state such as the Republic of Korea or Japan have. Even if your region experienced extremely high rates (such as Andorra, Belgium, Italy and Singapore), your region can recover as they have - if you can keep your slope of case rates negative.
How to keep the slope of case rates negative is up to local citizens, health officials and governments. Dark Sky Innovative solutions does not attempt to give advice on this topic.
From observation of these historical trends, the challenge is not deciding when to lock down, but when to open and when to lock down again. The slope of rates graph is a good indicator of when you should or should not reopen. The curve uses the latest data available and the average lags by about 1 week. But if there is a statistically large increase in rates, the curve will show that immediately.
It is my opinion, that in a crisis with so many unknowns, excess caution and responsiveness are more crucial to success than statistical or mathematical rigor. Severely affected regions simply don't have the time to wait for thorough mathematical analyses.
"If your sample is large enough and selected properly, it will represent the whole well enough for most purposes. If it is not, it may be far less accurate than an intelligent guess and have nothing to recommend it but a spurious air of scientific precision." - How to Lie With Statistics by Darrell Huff copyright 1954.
The above quote explains why the actuaries and bookies aren't able to make predictions. There's not enough history yet.
The methods I used to construct these curves have served me well for 40 years and have been crucial to successful projects which were being overwhelmed by noisy, dare I say crappy, data.
Paralysis by analysis can kill when it applies to COVID-19
Bob Tipton - Founder Dark Sky Innovative Solutions